Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s
(b) 54.14 m/s
Step-by-step explanation:
The average speed over the given time interval [a,b]: = 
Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by 
(a)
(i) average speed = 

m/s
(ii) average speed = 

m/s
(iii) average speed = 

m/s
(iv) average speed = 

m/s
(v) average speed = 

m/s
(b) 

m/s
Answer:
1. 5
2. 5
3. -3
4.y= -1
5. 5
Step-by-step explanation:
1.)x- 2y= -25 ; y=3x
x-2(3x)=(-25)
x-6x=(-25) ; -5x=(-25) ; x=5
2.) 5x+3y =40; x=y
8y=40; y=5
3.) 4x-3y= -27; x=3y
4(3y)-3y= -27; 12y-3y=-27; 9y=-27; y=-3
4.)x-y=9; x=-8y; -8y-y=9; -9y=9; y=-1
5.) 2x+2y=30; y=2x ; 2x+2(2x)=30; 6x=30; x=5
Answer:
V = 65.19
Step-by-step explanation:
Remark
You need r. You can get it from the circumference of the circular base.
Once you have that, the formula is Area = 1/3 pi r^2 j
Givens
C = 20.236
h = 6 feet
Formulas
C = 2 pi r
Volume = 1/3 pi r^2 h
Solution
Find r from C = 2 pi r
20.236 = 2 * 3.14 * r Combine the right
20.236 = 6.28 * r Divide by 6.28
20.236/6.28 = 6.28 * r / 6.28
3.222 = r
Now that you have r, you can solve for the volume
V = (1/3) pi 3.222^2 * 6 Square r
V = 1/3 * pi * 10.381 * 6 Now multiply through by all, but pi
V = 20.762 pi
V = 65.194
Answer:
30(x+1)/(x+7)
Step-by-step explanation:
This is not a rational expression because denominator has a domain of which it can be undefined.
To rationalize multiply by the reciprocal of the denominator (1/6+1/x+1)
___<u>5___ </u>*(6)(x+1) --> _____<u>30(x+1)_____</u> --><u> 30x+1</u>_ --> <u>30x+1</u>
1/6+1/x+1 *(6)(x+1)--> 6(x+1)/6 + 6(x+1)/(x+1) --> (x+1)+6 --> x+7
Final Answer: 30(x+1)/(x+7)